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Finding the Third Proportional to 458,168 and 984,136

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Solution

The third proportional to 458,168 and 984,136 is: 2,113,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,168 : 984,136 = 984,136 : x
  2. Step 2: Convert to fraction form
    458,168/984,136 = 984,136/x
  3. Step 3: Cross multiply
    458,168x = 984,136 × 984,136
  4. Step 4: Simplify right side
    458,168x = 968,523,666,496
  5. Step 5: Solve for x
    x = 968,523,666,496/458,168
  6. Step 6: Final answer
    x = 2,113,905.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.